The coordinates of the vertex A of a rectangle ABCD whose three verticesare given as B(0, 0), C(3, 0) and D(0, 4) are

The coordinates of the vertex A of the rectangle ABCD can be found by adding the x-coordinate of point C to the x-coordinate of point D and subtracting the x-coordinate of point B. Similarly, add the y-coordinate of point C to the y-coordinate of point D and subtract the y-coordinate of point B.

Step 1: Add the x-coordinates of points C and D, and subtract the x-coordinate of point B. A_x = C_x + D_x - B_x A_x = 3 + 0 - 0 A_x = 3

Step 2: Add the y-coordinates of points C and D, and subtract the y-coordinate of point B. A_y = C_y + D_y - B_y A_y = 0 + 4 - 0 A_y = 4

So, the coordinates of the vertex A of the rectangle ABCD are (3, 4).